Fatma Tokmak

Existence of symmetric positive solutions for a multipoint boundary value problem with sign-changing nonlinearity on time scales

In this paper, we make use of the four functionals fixed point theorem to verify the existence of at least one symmetric positive solution of a second-order m-point boundary value problem on time scales such that the considered equation admits a nonlinear term f whose sign is allowed to change. The discussed problem involves both an increasing homeomorphism and homomorphism, which generalizes the p-Laplacian operator. An example which supports our theoretical results is also indicated.MSC:34B10, 39A10.

Existence of positive solutions for third-order boundary value problems with integral boundary conditions on time scales

In this paper, four functionals fixed point theorem is used to verify the existence of at least one positive solution for third-order boundary value problems with integral boundary conditions for an increasing homeomorphism and homomorphism on time scales. We also provide an example to demonstrate our results.MSC:34B18, 34N05.

Existence of Positive Solutions for Third-Order -Point Boundary Value Problems with Sign-Changing Nonlinearity on Time Scales

A four-functional fixed point theorem and a generalization of Leggett-Williams fixed point theorem are used, respectively, to investigate the existence of at least one positive solution and at least three positive solutions for third-order -point boundary value problem on time scales with an increasing homeomorphism and homomorphism, which generalizes the usual -Laplacian operator. In particular, the nonlinear term is allowed to change sign. As an application, we also give some examples to demonstrate our results.

Existence of Solutions for Nonlinear Impulsive Fractional Differential Equations with -Laplacian Operator

This paper studies the existence of solutions for a nonlinear boundary value problem of impulsive fractional differential equations with -Laplacian operator. Our results are based on some standard fixed point theorems. Examples are given to show the applicability of our results.

Existence of positive solutions for p-Laplacian impulsive boundary value problems on time scales

In this paper, by using fixed point index theory and a double fixed point theorem, we study the existence of many positive solutions for a class of second-order p-Laplacian boundary value problems with impulse on time scales. An example which supports our theoretical results is also indicated.MSC:34B18, 34B37, 34K10.

Eigenvalues for iterative systems of nonlinear m-point boundary value problems on time scales

In this paper, we determine the eigenvalue intervals of the parameters λ1,λ2,…,λn for which there exist positive solutions of the iterative systems of m-point boundary value problems on time scales. The method involves an application of Guo-Krasnosel’skii fixed point theorem. We give an example to demonstrate our main results.MSC:34B18, 34N05.

Existence of three symmetric positive solutions for a second-order multi-point boundary value problem on time scales

In this article, we investigate the existence of at least three symmetric positive solutions of a second-order multi-point boundary value problem on time scales. The ideas involve Bai and Ge’s fixed point theorem. As an application, we give an example to demonstrate our main result.MSC:34B10, 34B18, 39A10.

Existence results for p -Laplacian boundary value problems of impulsive dynamic equations on time scales

In this paper, Bai-Ge’s fixed point theorem is used to investigate the existence of positive solutions for second-order boundary value problems of p-Laplacian impulsive dynamic equations on time scales. As an application, we give an example to demonstrate our results.MSC:34B18, 34N05, 39B37.